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Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.
The Sixth Refinement Workshop took place at City University in London from 5th to 7th January 1994. The present volume includes all of the papers which were submitted and accepted for presentation, together with two papers by invited speakers. The workshops in the series have generally occurred at one year intervals but in this last case a two year period had elapsed. These workshops have established themselves as an important event in the calendar for all those who are interested in progress in the underlying theory of refinement and in the take-up by industry of the methods supported by that theory. One of the proposed themes of the sixth workshop was the reporting of successful adoption i...
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Hardbound. The aim of this conference was to investigate the motivation for and development of Problem Solving Environments (PSEs) for Scientific Computing. The meeting was interdisciplinary, including experts in Physics, Chemistry, Oceanography, Biology and fields of Engineering, as well as authorities in Software Engineering, Numerical Software Construction, Computing Science, Computational Mathematics and Statistics.Whilst some Working Conferences are essentially review meetings in the course of the development of a particular field, it is evident that focussed consideration of problem solving environments for many people started with this meeting.
List for March 7, 1844, is the list for September 10, 1842, amended in manuscript.